Among the examinees in an examination 30%, 35% and 45% failed in Statistics, in Mathematics, and in at least one of the subjects respectively. An examinee is selected at random. Find the probabilities that
a. He failed in Mathematics only
b. He passed in Statistics, if it is known that he has failed in Mathematics

  1. 👍
  2. 👎
  3. 👁
  1. P(S and M) = P(S) + P(M) - P(S or M)
    = .3 + .35 - .45
    = .2

    You could now make a Venn Diagram with two overlapping circles called S and M
    Enter .2 into the overlap ( the P(S and M) )
    since S must be .3 and .2 is already accounted for, the part of ONLY S would be .1
    in the same way the part of M only would be .15

    1. 👍
    2. 👎
  2. good

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Further maths

    In an examination 31 candidate passed Chemistry,29 passed Physics 3 failed both subjects.lf 50 candidates sat for the examination how many of them passed Chemistry only.

  2. Further mathematics

    In an examination 18 candidates passed mathematics 17 candidates passed physics 11 candidates passed mathematics and physics and 1 failed both subjects Find the number of candidates that passed mathematics only The number of

  3. math

    80 boys took the GCE examination in the three subjects geography, English and mathematics and none of them failed all three subjects, it was noted that 8 passed English only and 10 passed mathematics only, 7 passed mathematics and

  4. Math

    In examination, 60 % of candidates failed, the number of candidates who passed was 500. Find the number that failed. Solution :60 /100*500 =300

  1. Math

    In an examination, 1/5 of the candidates failed. It is known that 240 candidates passed. How many candidates took the examination

  2. Math

    In a group of 105 students, 70 students passed Mathematics, 60 students passed History and 45 students passed Geography; 30 students passed Mathematics and History, 35 students passed History and Geography, 25 passed Mathematics

  3. m/c

    Which of the following refers to when a researcher gathers data from a sample and uses the statistics generated to reach conclusions about the population from which the sample was taken? inferential statistics holistic statistics

  4. Maths

    In a certain examination, 52 candidates offered biology, 60 history, 96 offered mathhematics , 21 offered biology and history, 22 offered both biology and mathematics, 16 mathematics and history. If 7 candidates offer all the

  1. Mathematics

    50 students in a class took me an examination in french and mathematics .If 14 of them pass french only , 23 pass in both subjects and 5 of them failed in both subjects. Draw a venn diagram to represent the information. Find

  2. Psychology

    An essential part of scientific thinking is not only how to use statistics correctly, but also how to identify the misuse of statistics. Our textbook authors suggest that students should: Answer distrust all statistics because

  3. Math

    80 boys took the examination in the three subjects: Chinese, English and Mathematics, and none of them failed in all three subjects. It was noted that 8 passed in English only and 10 passed in Mathematics only; 7 passed in

  4. Math

    In examination, 60 % of candidates failed, the number of candidates who passed was 500. Find the number that failed.

You can view more similar questions or ask a new question.